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258472303125 = 355178391933
BaseRepresentation
bin1111000010111000100…
…1100101101000010101
3220201011101020110002220
43300232021211220111
513213322402200000
6314423542252553
724450120216651
oct3605611455025
9821141213086
10258472303125
119a687970a63
1242115a27159
131b4b240a4ca
14c71db01a61
156acba0b1a0
hex3c2e265a15

258472303125 has 96 divisors (see below), whose sum is σ = 456878257920. Its totient is φ = 129521280000.

The previous prime is 258472303081. The next prime is 258472303127. The reversal of 258472303125 is 521303274852.

It is not a de Polignac number, because 258472303125 - 211 = 258472301077 is a prime.

It is a super-3 number, since 3×2584723031253 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258472303127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133714659 + ... + 133716591.

It is an arithmetic number, because the mean of its divisors is an integer number (4759148520).

Almost surely, 2258472303125 is an apocalyptic number.

258472303125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

258472303125 is a deficient number, since it is larger than the sum of its proper divisors (198405954795).

258472303125 is an equidigital number, since it uses as much as digits as its factorization.

258472303125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

Adding to 258472303125 its reverse (521303274852), we get a palindrome (779775577977).

The spelling of 258472303125 in words is "two hundred fifty-eight billion, four hundred seventy-two million, three hundred three thousand, one hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 125 255 375 425 625 839 1275 1875 1933 2125 2517 3125 4195 5799 6375 9375 9665 10625 12585 14263 20975 28995 31875 32861 42789 48325 53125 62925 71315 98583 104875 144975 159375 164305 213945 241625 314625 356575 492915 524375 724875 821525 1069725 1208125 1573125 1621787 1782875 2464575 2621875 3624375 4107625 4865361 5348625 6040625 7865625 8108935 8914375 12322875 18121875 20538125 24326805 26743125 27570379 40544675 44571875 61614375 82711137 102690625 121634025 133715625 137851895 202723375 308071875 413555685 608170125 689259475 1013616875 2067778425 3040850625 3446297375 5068084375 10338892125 15204253125 17231486875 51694460625 86157434375 258472303125